The Right to Buy
or Sell — Without
the Obligation.

An option is a contract giving the buyer the right — but not the obligation — to buy or sell an asset at a set price before a set date. Options are the most versatile instruments in finance: used to hedge risk, generate income, and speculate with defined loss. The final topic in the BBYM curriculum.

🔴 Advanced Ages 16+ Calls & Puts The Greeks Premium & Strike Covered Calls ⭐ Final Topic

AAPL OPTIONS CHAIN — DEMO Exp: 3rd Friday · 21 days to exp

AAPL — Apple Inc. $187.42

CALL bid	CALL ask	STRIKE	PUT bid	PUT ask
11.80	12.10	175	0.22	0.28
7.30	7.60	180	0.58	0.65
3.80	4.00	185	1.40	1.55
2.15	2.30	187 ←ATM	2.10	2.25
0.85	0.95	190	3.60	3.80
0.28	0.36	195	7.20	7.50
0.08	0.12	200	11.80	12.20

ITM

ATM

OTM

The Foundation

What Is an Options Contract?

An options contract grants the buyer the right — but not the obligation — to buy or sell 100 shares of an underlying asset at a specified price (the strike price) before or on a specified date (the expiration date). This right is purchased by paying a premium to the seller (writer) of the contract.

There are exactly two types: a Call option gives the right to buy. A Put option gives the right to sell. Options can be used to hedge an existing position, generate income on shares you already own, or speculate on direction with strictly capped downside (the premium paid).

Every listed options contract controls 100 shares. So an option priced at $2.30 actually costs $230 — because $2.30 × 100 = $230. This leverage is what makes options both powerful and dangerous.

💡 The Birmingham Connection

Many Birmingham-area business owners unknowingly use option-like thinking already — locking in a future price for materials, or reserving the right to buy property without committing. Understanding formal options means turning intuitive business logic into a precision financial tool.

📋 Anatomy of a Real Options Contract

Contract TypeCall Option

Underlying AssetAAPL (Apple Inc.)

Strike Price$190.00

Expiration Date3rd Friday, next month

Premium Paid$0.95 × 100 = $95 total

Contract Size100 shares

Current Stock Price$187.42

StatusOTM (Out-of-the-Money)

Break-Even Price$190.95 ($190 + $0.95)

Max Loss$95 (premium paid)

Max ProfitUnlimited if AAPL rises

This contract gives you the right to buy 100 shares of AAPL at $190 anytime before expiration. If AAPL hits $210, your $95 investment is worth $2,000. If AAPL stays below $190, you lose only the $95 premium.

The Two Types

Calls vs. Puts — Head to Head

Every option is either a call or a put. Understanding the payoff profile of each from both the buyer and seller perspective is the foundation of all options literacy.

📈

Call Option

"The right to buy"

Buyer profits whenStock rises above strike + premium

Buyer's max lossPremium paid (100% of investment)

Buyer's max profitUnlimited (stock can rise forever)

Seller (writer) profits whenStock stays below strike at expiry

Seller's max profitPremium collected

Seller's max lossUnlimited (naked call — very risky)

Use caseBullish speculation or income (covered call)

Real Example

You buy 1 NVDA $500 call for $8.00 ($800 total). NVDA rises to $540. Your call is worth at least $40 intrinsic value — that's $4,000 for a $800 investment (+400%). If NVDA stays below $500, you lose the entire $800 premium.

📉

Put Option

"The right to sell"

Buyer profits whenStock falls below strike − premium

Buyer's max lossPremium paid (100% of investment)

Buyer's max profitStrike price − premium (stock → $0)

Seller (writer) profits whenStock stays above strike at expiry

Seller's max profitPremium collected

Seller's max lossStrike − premium (stock → $0)

Use caseBearish speculation or portfolio hedge

Real Example

You own 100 shares of AAPL at $187. You buy 1 AAPL $180 put for $1.55 ($155 total). If AAPL crashes to $160, your put is worth $20 intrinsic value — $2,000 offsetting your stock losses. This is portfolio insurance — a protective put.

Risk Measurement

The Greeks — How Options Are Priced

Options pricing is determined by six factors, each measured by a "Greek" letter. Professional options traders think in Greeks constantly — they tell you how the option's value will change as market conditions shift.

Delta

Price Sensitivity

How much an option's price moves per $1 move in the underlying stock. Calls: Delta 0 to +1. Puts: Delta −1 to 0. An ATM option has Delta ≈ 0.50 — moves $0.50 for every $1 stock move. Delta also approximates the probability the option expires ITM.

Delta Interpretation

Call Delta 0.70 → option gains $0.70 per $1 stock rise
Put Delta −0.40 → option gains $0.40 per $1 stock fall
Delta 1.0 = deep ITM, moves like stock

Gamma

Delta's Rate of Change

How fast Delta itself changes as the stock moves. Highest for ATM options near expiration. A high Gamma option can dramatically change in value from small stock moves — creating explosive profits or losses. Gamma risk is why near-expiry ATM options are so volatile.

Gamma Effect

If Gamma = 0.05 and stock moves $1:
Delta increases by 0.05 (from 0.50 → 0.55)
Gamma is highest at ATM · lowest deep ITM/OTM

Theta

Time Decay

The daily dollar loss in an option's value as time passes, all else equal. Theta is always negative for option buyers — every day costs you money even if the stock doesn't move. Options lose ~1/3 of time value in the last week of life. Time decay is the option seller's best friend.

Theta Decay

Theta −0.05 → option loses $0.05 per day
1 contract loses $5/day just from time passing
Accelerates dramatically in final 30 days ⚠

Vega

Volatility Sensitivity

How much an option's price changes for each 1% change in implied volatility (IV). Both calls and puts gain value when volatility rises — and lose value when it falls. Buying options before earnings means paying high IV; if the stock moves less than expected, options lose value even if direction is correct.

Vega Example

Vega = 0.10 and IV rises 5%:
Option gains $0.50 in value from IV alone
"IV crush" after earnings destroys option value

Rho

Interest Rate Sensitivity

How much an option's value changes per 1% change in interest rates. Calls increase in value when rates rise; puts decrease. Rho matters most for long-dated options (LEAPs) — short-term options are barely affected. The least-watched Greek but important in rate-volatile markets.

Rho Context

Short-term options: Rho impact minimal
LEAPs (1–2 yr): Rho becomes significant
Rising rates → calls more valuable, puts less

Implied Volatility

Market's Fear Gauge

Not a Greek technically, but the most important pricing input. IV is the market's expectation of future volatility — derived backward from the option's market price. High IV = expensive options. Low IV = cheap options. The VIX measures S&P 500 IV and is nicknamed the "fear index."

IV Trading Rule

Buy options when IV is LOW (cheap premium)
Sell options when IV is HIGH (expensive premium)
VIX above 30 = high IV environment · fear spike

Strategy Toolkit

Eight Essential Options Strategies

Options strategies range from conservative income generation to aggressive speculation. Your outlook on direction, volatility, and time frame determines which strategy applies.

Strategy	Construction	Outlook	Max Profit	Max Loss	Best For
Long Call	Buy 1 call	Bullish	Unlimited	Premium paid	Speculating on price rise with capped downside
Long Put	Buy 1 put	Bearish	Strike − Premium	Premium paid	Downside protection or bearish speculation
Covered Call	Own 100 shares + Sell 1 call	Neutral–Mildly Bullish	Strike − Stock cost + Premium	Stock falls to zero	Generate income on shares you already own ★
Protective Put	Own 100 shares + Buy 1 put	Bullish with hedge	Unlimited upside	Premium paid + (Stock − Strike)	Portfolio insurance — "stock with a floor" ★
Bull Call Spread	Buy lower strike call + Sell higher strike call	Moderately Bullish	Spread width − Net premium	Net premium paid	Reduce cost of bullish call at expense of capped upside
Bear Put Spread	Buy higher strike put + Sell lower strike put	Moderately Bearish	Spread width − Net premium	Net premium paid	Defined-risk bearish play with reduced premium
Long Straddle	Buy 1 ATM call + Buy 1 ATM put (same strike/expiry)	Neutral — Big Move Expected	Unlimited either direction	Both premiums paid	Earnings plays — profit whether stock gaps up or down
Cash-Secured Put	Sell 1 put + Hold cash = strike × 100	Neutral–Mildly Bullish	Premium collected	Strike − Premium (if stock → $0)	Get paid to commit to buying stock at a lower price ★

Visualizing Risk & Reward

Payoff Diagrams at Expiration

A payoff diagram shows profit/loss at every possible stock price at expiration. The shape of the diagram is the fingerprint of the strategy.

Long Call — Buy 1 $190 call @ $0.95

Break-even: $190.95 · Max loss: $95

P&L at expiry

Break-even

Long Put — Buy 1 $185 put @ $1.55

Break-even: $183.45 · Max loss: $155

P&L at expiry

Break-even

Covered Call — Own stock + Sell $190 call @ $0.95

Collect $95 premium · Cap upside at $190

Net P&L

Zero line

Long Straddle — Buy $187 call + Put @ $4.40 total

Profit if stock moves more than $4.40 either way

Net P&L

Break-even

Options Calculators

Calculate Break-Even & Max Profit / Loss

Run the numbers on a call or put before you ever place a trade. Know exactly what you need to happen to make money — and exactly what you stand to lose.

📊 Long Call / Put Calculator

Option Type

Strike Price ($)

Premium Paid (per share, $)

Number of Contracts

Stock Price at Expiry ($)

Total Cost—

Break-Even Price—

Option Value at Expiry—

Profit / Loss—

Return on Investment—

💰 Covered Call Income Calculator

Shares Owned

Current Stock Price ($)

Strike Price to Sell ($)

Premium Collected (per share, $)

Premium Income (total)—

Annualized Yield—

Max Profit (if called away)—

Downside Protection—

New Effective Cost Basis—

Key Terms

Options Glossary

The complete vocabulary of the options market — from contract basics to the Greeks.

Call Option

The right (not obligation) to buy 100 shares at the strike price before expiration. Profitable when stock rises above strike + premium paid.

Ex: Buy $190 call → right to buy AAPL at $190

Put Option

The right (not obligation) to sell 100 shares at the strike price before expiration. Profitable when stock falls below strike − premium paid.

Ex: Buy $185 put → right to sell AAPL at $185

Strike Price

The fixed price at which the option gives the right to buy (call) or sell (put) the underlying asset. Set at contract creation.

Ex: $190 strike = right to buy/sell at $190

Premium

The price paid to buy an options contract. Consists of intrinsic value (in-the-money amount) + time value + volatility value. Paid upfront and non-refundable.

Ex: $0.95 premium × 100 shares = $95 total cost

Expiration Date

The last day the option can be exercised. After this date, the option expires worthless or is automatically exercised if ITM. Traditional options expire the 3rd Friday of each month.

Ex: Options expire at market close on expiration Friday

ITM / ATM / OTM

In-the-Money: has intrinsic value. At-the-Money: strike equals current price. Out-of-the-Money: no intrinsic value yet — only time value remains.

Ex: AAPL at $187: $185 call is ITM, $187 is ATM, $190 is OTM

Intrinsic Value

The real, immediate value of an option — how much it's in-the-money. Call intrinsic = Stock − Strike (if positive). Put intrinsic = Strike − Stock (if positive). OTM options have zero intrinsic value.

Ex: $185 call with stock at $190 = $5 intrinsic value

Time Value (Extrinsic)

The portion of premium above intrinsic value — what you pay for the chance the option moves further ITM before expiry. Decays to zero by expiration (Theta decay).

Ex: Option worth $3.00, intrinsic $1.50 → $1.50 time value

Exercise

To use the right granted by the option — buying shares at the strike (call) or selling shares at the strike (put). Most retail traders sell options before expiry rather than exercising.

Ex: Exercise $185 call → buy 100 shares at $185

Covered Call

Selling a call option against shares you already own. Collects premium income while agreeing to sell shares at the strike if the stock rises. Conservative income strategy.

Ex: Own 100 AAPL shares + sell $190 call → collect $95

Theta Decay

The daily erosion of an option's time value as expiration approaches. Option buyers fight Theta every day. Option sellers benefit from Theta — it puts money in their pocket as time passes.

Ex: Theta −$5/day means you lose $5 from time alone

Implied Volatility (IV)

The market's implied expectation of future price swings — derived from current option prices. High IV = expensive options. "IV crush" after events destroys option value even with correct direction.

Ex: VIX above 30 = high IV, option premiums expensive

The Right to Buyor Sell — Withoutthe Obligation.

What Is an Options Contract?

Calls vs. Puts — Head to Head

The Greeks — How Options Are Priced

Eight Essential Options Strategies

Payoff Diagrams at Expiration

Calculate Break-Even & Max Profit / Loss

Options Glossary

You've Covered All12 Topics.

The Right to Buy
or Sell — Without
the Obligation.

You've Covered All
12 Topics.